UPSC NDA I 2015 Mathematics Solved Paper

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Question : 9 of 120
 
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Let Z be the set of integers and aRb, where a, b ∈ Z if and only if (a – b) is divisible by 5
Consider the following statements :
1. The relation R partitions Z into five equivalent classes.
2. Any two equivalent classes are either equal or disjoint.
Which of the above statements is/are correct?
[NDA I 2015]
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